Measurement of $^{26}$Si+p resonant elastic scattering for studying the $^{26}$Si(p,$\gamma )^{27}$P reaction

Proton resonant states in $^{27}$P have been studied by the resonant elastic scattering of $^{26}$Si+p with a $^{26}$Si radioactive ion beam at 3.039 MeV/u bombarding a thick H$_{2}$ gas target with the inverse kinematics method at the low-energy RI beam facility CRIB at CNS, University of Tokyo. The properties of these resonance states are important to better determine the production rates of $^{26}$Si(p,$\gamma )^{27}$P reaction which is one of the atrophysically important reactions to understand the production of the ground state of $^{26}$Al under the explosive stellar environments at higher temperature. In this work, some new states have been observed with a high statistics and background free through a covered the range of excitation energies from E$_{x} \quad \sim $ 2.3 to 3.8 MeV. The resonant parameters of those states, were determined by an R-matrix analysis of the excitation functions.